Ohnishi et al.: The von Bertalanffy growth function concerning the allocation of surplus energy to reproduction 
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A ( 0 4 . 1 ) B ( 0.4 , 3 ) C ( 0 4 . 100 ) 
Age (years) 
Figure 2 
Variation in somatic growth due to differences in energy allocation (A-L). 
Thick, thin, and broken lines correspond to growth in length lit), growth 
in length lit) with u = 0 (i.e., the original von Bertalanffy growth function), 
and the energy allocation function pit), respectively. The numerical values 
in parentheses correspond to the combination of parameters r(=0.4, 0.6, 0.8, 
1.0) and a( = l, 3, 100) employed in pit). The parameters used for all cases 
include the following: fl=1.0, c = 1.0, A = 0.15, 7^ = 1.0, t 0 = 0, and t m = 5. 
Acknowledgments 
The authors would like to thank to Y. Narimatsu of 
Tohoku National Fisheries Research Institute, Fisher- 
ies Research Agency, who provided us with the willowy 
flounder data for analysis. The authors also express 
our gratitude to the anonymous reviewers who provided 
valuable, insightful suggestions for the improvement of 
the manuscript. 
